What is the Greatest Common Factor of 45050 and 45065?

Greatest common factor (GCF) of 45050 and 45065 is 5.

GCF(45050,45065) = 5

We will now calculate the prime factors of 45050 and 45065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45050 and 45065.

How to find the GCF of 45050 and 45065?

We will first find the prime factorization of 45050 and 45065. After we will calculate the factors of 45050 and 45065 and find the biggest common factor number .

Step-1: Prime Factorization of 45050

Prime factors of 45050 are 2, 5, 17, 53. Prime factorization of 45050 in exponential form is:

45050 = 2¹ × 5² × 17¹ × 53¹

Step-2: Prime Factorization of 45065

Prime factors of 45065 are 5, 9013. Prime factorization of 45065 in exponential form is:

45065 = 5¹ × 9013¹

Step-3: Factors of 45050

List of positive integer factors of 45050 that divides 45050 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 53, 85, 106, 170, 265, 425, 530, 850, 901, 1325, 1802, 2650, 4505, 9010, 22525

Step-4: Factors of 45065

List of positive integer factors of 45065 that divides 45050 without a remainder.

1, 5, 9013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45050 and 45065. The biggest common factor number is the GCF number.
So the greatest common factor 45050 and 45065 is 5.

Also check out the Least Common Multiple of 45050 and 45065